Free Printable A1-CHAPTER 9 2024-25

1.

What is the equation of the axis of symmetry?

a)

y = 4

b)

y = -4

c)

x = 4

d)

x = -4

2.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

3.

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

a)

The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum

b)

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

c)

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

d)

The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

4.

What are the roots of the following quadratic?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

5.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

6.

The imaginary line that goes through the vertex of a parabola is called the...

a)

Vertex

b)

Axis of Symmetry

c)

x-intercept

d)

y-intercept

7.

The highest or lowest point on a quadratic is called the...

a)

Max

b)

Vertex

c)

Axis of Symmetry

d)

Intercept

8.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

9.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

10.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

11.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

12.

What divides the parabola into 2 perfect halves?

a)

Axis of Symmetry

b)

Vertex

c)

Axis of Doom

d)

x - intercept

13.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

14.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

15.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

16.

Does the quadratic have a max/min vertex, and does the graph open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

17.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

18.

What is the axis of symmetry?

a)

The line that cuts a parabola in half

b)

the highest or lowest point

c)

where the graph touches the x-axis

d)

where the graph touches the y-axis

19.

Using the graph of the quadratic function, identify the y-intercept.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

20.

What is a parabola?

a)

The straight graph of a quadratic function

b)

The circular graph of a quadratic function

c)

The V-shaped graph of a quadratic function

d)

The U-shaped graph of a quadratic function

21.

Using the graph of the quadratic function, identify the vertex.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

22.

Which of the following graphs appropriately marks the axis of symmetry?

a)

b)

c)

d)

23.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

24.

What is the y-intercept?

a)

(3,0)

b)

(0,-3)

c)

(0,3)

d)

(-3,0)

25.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

26.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

27.

Does the quadratic have a max/min vertex, and does the graph open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

28.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

29.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

30.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

31.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

32.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

33.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

34.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

35.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

36.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

37.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

38.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

39.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

40.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

41.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

42.

Find the y-intercept of
f(x) = 2x²-2x + 1

a)

2

b)

-2

c)

1

d)

-1

43.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

44.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

45.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

46.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

47.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

48.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

49.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

50.

What is the axis of symmetry?
y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

51.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

52.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

53.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

54.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

55.

Which is the vertex of y = x²+ 16x + 71 ?

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

56.

The parabola y = x² - 2 will have a vertex of

a)

(0, 2)

b)

(0, -2)

c)

(2, 0)

d)

(-2, 0)

57.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

58.

What is the vertex of the equation

y=\left(x-3\right)^2+5

a)

(-3, 5)

b)

(3, 5)

c)

(-3, -5)

d)

(3, -5)

59.

What is the vertex of the equation

y=\left(x+7\right)^2+3

a)

(7, 3)

b)

(7, -3)

c)

(-7, 3)

d)

(-7, -3)

60.

What is the vertex of the equation

y=\left(x-4\right)^2

a)

(-4, 0)

b)

(4, 0)

c)

(0, 4)

d)

(0, -4)

61.

What is the vertex of the equation

y=x^2-1

a)

(0, -1)

b)

(0, 1)

c)

(1, 0)

d)

(-1, 0)

62.

What is the vertex of the equation

y=2\left(x+1\right)^2-5

a)

(1, -5)

b)

(-1, -5)

c)

(-1, 5)

d)

(1, 5)

63.

What is the vertex of the equation

y=-2\left(x-1\right)^2+5

a)

(-1, -5)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

64.

What is the vertex of the equation

f\left(x\right)=\left(x-4\right)^2-5

a)

(-4, -5)

b)

(-4, 5)

c)

(4, 5)

d)

(4, -5)

65.

What direction does the following graph open?

f\left(x\right)=\left(x-4\right)^2-5

a)

left

b)

right

c)

up

d)

down

66.

What is the vertex of the equation

g\left(x\right)=-x^2+5

a)

(0, 5)

b)

(0, -5)

c)

(5, 0)

d)

(-5, 0)

67.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

68.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

69.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

70.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

71.

What is the vertex of the parabola:
$y=2(x-3)^2+4$

a)

(3, 4)

b)

(-3, 4)

c)

(3, -4)

d)

(-3, -4)

72.

Which equation has a vertex of (-3, 4)?

a)

y = (x + 3)²+ 4

b)

y = (x + 3)² - 4

c)

y = (x - 3)² + 4

d)

y = (x - 3)² - 4

73.

What is the vertex of $f\left(x\right)=\left(x+4\right)^2$

a)

(0,4)

b)

(4,0)

c)

(-4,0)

d)

(0,-4)

74.

What is the vertex of $f\left(x\right)=x^2-3$

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

75.

$f\left(x\right)=x^2$ What is the vertex of

a)

(0,0)

b)

(1,1)

c)

(1,0)

d)

(0,1)

76.

Which of these equations is in Vertex Form?

a)

$y=\left(x-3\right)+2$

b)

$y=\left(x-3\right)^2+2$

c)

$y=x-\left(x+2\right)^2$

d)

$y=\left(x-3\right)\left(x+2\right)$

77.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

78.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(5, 4)

d)

(15, -4)

79.

What is the vertex of the equation
y= (x-12)²+7 ?

a)

(1,7)

b)

(-12, 7)

c)

(7,12)

d)

(12, 7)

80.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

81.

Which quadratic function is represented by the graph?

a)

y = -(x + 1)² - 4

b)

y = -(x + 1)² + 4

c)

y = -(x - 1)² - 4

d)

y = (x + 1)² + 4

82.

Which quadratic function is represented by the graph?

a)

y = (x - 2)² + 2

b)

y = (x + 2)² + 2

c)

y = (x - 2)² - 2

d)

y = -(x - 2)² + 2

83.

What is the vertex of the function y = (x - 3)² + 5

a)

(-3, 5)

b)

(3, -5)

c)

(-3, -5)

d)

(3, 5)

84.

Given: y = 2(x - 5) + 6, the vertex is

a)

(2, -5)

b)

(-5, 6)

c)

(2, 6)

d)

(5, 6)

85.

Given the equation for this parabola:
y = -(x-4)²- 3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

86.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

87.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

88.

Identify the equation that matches the graph.

a)

y = (x+1)² + 4

b)

y = (x - 1)² + 4

c)

y = -1(x+ 1)² + 4

d)

y = -1(x-1)² + 4

89.

What is the green dot on the parabola called?

a)

vertex

b)

intercept

c)

peak

d)

root

90.

What is the vertex of the graph?

a)

(2,4)

b)

(-2,-4)

c)

(4,2)

d)

(-4,-2)

91.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

92.

Which of the following is the correct equation for the given graph?

a)

f(x) = -(x + 2)² - 4

b)

f(x) = -(x - 2)² - 4

c)

f(x) = -3(x - 2)² - 4

d)

f(x) = -3(x + 2)² - 4

93.

Which quadratic function is represented by the graph?

a)

y = -(x + 1)² - 4

b)

y = -(x + 1)² + 4

c)

y = -(x - 1)² - 4

d)

y = (x + 1)² + 4

94.

Which quadratic function is represented by the graph?

a)

y = (x - 2)² + 2

b)

y = (x + 2)² + 2

c)

y = (x - 2)² - 2

d)

y = -(x - 2)² + 2

95.

a)

{49,-49}

b)

{8,-8}

c)

{7,-7}

d)

No Solution

96.

a)

{12.88,-12.88}

b)

{13.22,-13.22}

c)

{16}

d)

No Solution

97.

a)

{6.78,-6.78}

b)

{8,-8}

c)

{7,-7}

d)

No Solution

98.

Solve using square roots.

a)

±81

b)

±9

c)

±3

d)

No real solution

99.

Solve using square roots.

a)

√3

b)

±√3

c)

-3

d)

No real solution

100.

Solve using square roots.

a)

± 1/4

b)

± 9/36

c)

± 1/2

d)

No real solution

101.

x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

102.

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

103.

x² + 4 = 68

a)

± 8

b)

± √8

c)

8

d)

± 64

104.

7x² + 1 = 8

a)

± 1

b)

± 7

c)

± √7

d)

± 8

105.

Solve using square roots.
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

106.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

107.

Solve by taking square roots:
3 + 9r² = 12

a)

r = 0

b)

no solution

c)

r = 3, r = -3

d)

r = 1, r = -1

108.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

109.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

110.

1 In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

111.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

112.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

113.

What are the solutions to
v² + 6v + 5 = 0

a)

(1,0) and (0,0)

b)

(5, 0) and (-7, 0)

c)

(-5, 0) and (-1, 0)

d)

(6,0) and (0,0)

114.

What are the two solutions to x² - 4 = 0

a)

x = 2 and x = -2

b)

x = 4 and x = - 4

c)

x = 2 and x = -4

d)

x = 2 and x = 2

115.

Find the roots/zeros of x² + 4x - 21

a)

-7, 3

b)

-3, 7

116.

Find the roots/zeros of x² + x - 2

a)

-1, 2

b)

-2, 1

117.

When looking at a quadratic graph, the solution(s) are always the _____________.

a)

y-intercept

b)

vertex

c)

x-intercept(s)

d)

axis of symmetry

118.

What are the zeros of x²+9x+14

a)

2, 7

b)

-2, -7

c)

2, -7

d)

-2, 7

119.

Solve by the Square Root method:

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

120.

Solve the equation:
5x² - 35x + 60 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

121.

Determine the values of a, b, and c for the quadratic equation: $4x^2-8x=0$

a)

a = 4, b = -8, c = 0

b)

a = 4, b =0, c =-8

c)

a = 0, b = -8, c = 4

122.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

123.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

124.

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

125.

Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

a)

9

b)

12

c)

36

d)

- 9

126.

Is this a perfect square trinomial?
x² + 18x + 9

a)

Yes

b)

No

127.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

128.

What value of c would make this a perfect square trinomial?
x² + 2x + c

a)

2

b)

4

c)

-2

d)

1

129.

What value of c would make this a perfect square trinomial?
x²- 12x + c

a)

36

b)

24

c)

144

d)

-36

130.

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___

a)

13

b)

136

c)

169

d)

26

131.

Factor the perfect square trinomial
x² + 14x + 49

a)

(x+7)²

b)

(x+7)(x-7)

c)

(x-7)²

d)

(x+14)²

132.

Factor the perfect square trinomial:
x² + 16x + 64

a)

(x+8)²

b)

(x-8)²

c)

(x-4)²

d)

(x+4)²

133.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

134.

A shadow moves in the darkness. You are followed. Which of the following completes the square? x² + 5x +

a)

10

b)

25

c)

10/2

d)

25/4

135.

Team up with the King's secret agent. Which of the following is a perfect square trinomial?

a)

x² + 5x + 25

b)

x² + 6x + 12

c)

x² + 4x + 9

d)

x² + 2x + 1

136.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

137.

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

a)

the -4x

b)

the 9

c)

the x²

138.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3, -1}

b)

{4, -4}

c)

{5, -3}

d)

{8, -7}

139.

Solve the following equation by completing the square:
n² = 18n + 40

a)

{11, -11}

b)

{16, 2}

c)

{20, -2}

d)

{10, -4}

140.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

141.

Solve by completing the square:
v² + 6v − 59 = 0

a)

{-5 + 5√2, -5 - 5√2}

b)

{5 + 5√2, 5 - 5√2}

c)

{-3 + 2√17, -3 - 2√17}

d)

{3 + 2√17, 3 - 2√17}

142.

What do you need to add to both sides to complete the square?

$x^2+24x\ +$ ___ = 20 + ___

a)

100

b)

12

c)

10

d)

144

143.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

144.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

a)

{3 and-1}

b)

{4 and -4}

c)

{5 and -3}

d)

{8 and -7}

145.

x² + 4x - 16 = 0

a)

b)

c)

d)

146.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

147.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

148.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

149.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

150.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

151.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

152.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

153.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

154.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

155.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

156.

SOLVE EACH EQUATION BY COMPLETING THE SQUARE

a)

A

b)

B

c)

C

d)

D

157.

In the equation ax²+bx+c=0, the c term always the

a)

x²term

b)

x term

c)

constant

158.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

159.

In the equation x²+4=0, match each leading coefficient with its correct letter.

a)

a=0 b=4 c=0

b)

a=1 b=4 c=0

c)

a=1 b=0 c=4

160.

Solve the quadratic equation.
3x²- 8x - 8 = 0

a)

A {0.38, -0.88}

b)

B {0.89, -8.9}

c)

C . {0.13, -0.63}

d)

D . {3.44, -0.77}

161.

Solve the quadratic equation.
2p² - 2p - 55 = 5

a)

A . {3.28, -2.28}

b)

B . {2.5, -1.78}

c)

C . {6, -5}

d)

D . {-1, 4}

162.

Solve for x. Round to the nearest hundredth if necessary.
3x² = 16x + 12

a)

x = -.67, 6

b)

x = -6, .67

c)

x = 3.33, 18

d)

x = -3.33, 18

163.

Use quadratic formula to solve: $2x^2-3x-15=5$

a)

$\left\{3,15\right\}$

b)

all real numbers

c)

$\left\{4,-\frac{5}{2}\right\}$

d)

$\pm3i$

164.

Use quadratic formula to solve: $x^2+4x+3=0$

a)

$\left\{1,3\right\}$

b)

$\left\{-1,-3\right\}$

c)

$\left\{4,-3\right\}$

d)

$i\sqrt{3}$

165.

Use quadratic formula to solve: $8x^2-4x-18=0$

a)

$\left\{\frac{1\pm\sqrt{37}}{4}\right\}$

b)

$\left\{8,4,18\right\}$

c)

$\left\{\frac{38}{4},-\frac{38}{4}\right\}$

d)

$i\sqrt{37}$

166.

Use quadratic formula to solve: $9x^2-6x-11=0$

a)

$\left\{\frac{1\pm\sqrt{12}}{4}\right\}$

b)

$\left\{1\pm2\sqrt{3}\right\}$

c)

$\left\{\frac{1\pm2\sqrt{3}}{3}\right\}$

d)

$b^2-4ac$

167.

Use quadratic formula to solve: $n^2=9n-20$

a)

$\left\{5,4\right\}$

b)

$\left\{5,-8\right\}$

c)

$i$

d)

$all\ real\ numbers$

168.

Use quadratic formula to solve: $3x^2=6x-3$

a)

$\left\{6,9\right\}$

b)

$\left\{1\right\}$

c)

$i$

d)

$all\ real\ numbers$

169.

Use quadratic formula to solve: $x^2-4=0$

a)

$\pm4$

b)

$4$

c)

$\pm2$

d)

$all\ real\ numbers$

170.

What are the x-intercepts of

$f\left(x\right)=4x^2-x-7$ ?

a)

$x=\frac{1\pm\sqrt{113}}{2}$

b)

$x=\frac{1\pm\sqrt{111}}{8}$

c)

$x=\frac{1\pm\sqrt{113}}{8}$

d)

$x=\frac{4\pm\sqrt{111}}{2}$

171.

What are the zeros of

$f\left(x\right)=-2x^2+3x+1$ ?

a)

$x=\frac{3\pm\sqrt{17}}{4}$

b)

$x=\frac{-3\pm\sqrt{18}}{4}$

c)

$x=\frac{3\pm\sqrt{17}}{-4}$

d)

$x=\frac{3\pm\sqrt{18}}{2}$

172.

What are the zeros of

$f\left(x\right)=x^2+7x-18$ ?

a)

$x=-2,\ -9$

b)

$x=2,\ -9$

c)

$x=-2,\ 9$

d)

$x=2,\ 9$

173.

Which of the following quadratic equation is written in standard form?

a)

$5x^2+4-3x=0$

b)

$12x=7x^2-8$

c)

$3x^2+5x=-13$

d)

$3x^2-8x+2=0$

174.

Solve using the quadratic formula:

$x^2-7x+1=0$

a)

$x=\frac{-7+3\sqrt{5}}{2}$ or $x=\frac{-7-3\sqrt{5}}{2}$

b)

$x=\frac{7+3\sqrt{5}}{2}$ or $x=\frac{7-3\sqrt{5}}{2}$

c)

$\frac{7-\sqrt{53}}{2}$ $x=\frac{7+\sqrt{53}}{2}$ or

d)

No Solution, because there is a negative under the square root.

175.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

176.

Use quadratic formula to solve: $8x^2-4x-18=0$

a)

$\left\{\frac{1\pm\sqrt{37}}{4}\right\}$

b)

$\left\{8,4,18\right\}$

c)

$\left\{\frac{38}{4},-\frac{38}{4}\right\}$

d)

$i\sqrt{37}$

A1-CHAPTER 9 2024-25

Total questions: 176

Worksheet time: 9hrs 54mins

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